AnswersA. CostelloWCA 5324 Geometry 1st Nine Weeks 26-27Euclidean Geometry

Writing and Solving Equations in Two Variables Answers

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1
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What is the value of x in the equation , when ?

Question illustration
A
4.6
B
8.4
C
10
D
12
2
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What is the value of x in the equation 2x + 3y = 36, when y = 6?

A
8
B
9
C
27
D
36
3

Malik’s solution to the equation , when , is shown below. What error did Malik make first when solving the equation ?

Question illustration
A
Malik did not multiply correctly.
Option A
B
Malik added 240 to each side of the equation.
C
Malik did not multiply correctly.
Option C
D
Malik substituted 60 for y instead of x.
4

What is the value of x in the equation x – y = 30, when y = 15?

Question illustration
A
4
B
8
C
80
D
200
5

What is the value of x in the equation 8x – 2y = 48, when y = 4?

A
6
B
7
C
14
D
48
6

What is the value of a in the equation , when ?

Question illustration
A
3
B
15
C
21
D
39
7

An isosceles triangle in which the two equal sides, labeled x, are longer than side y.

Question illustration
A
2 x minus 2.1 equals 7.5
Option A
B
4.2 plus y equals 7.5
Option B
C
y minus 4.2 equals 7.5
Option C
D
2.1 plus 2 x equals 7.5
Option D
8

What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?

A
y = 5
B
y = 6
C
y = 8
D
y = 9
9

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100. 1.25x + 1.49 = 100What error did Barbara make in writing the equation?

A
Barbara’s equation did not consider the number of bottles of water.
B
Barbara’s equation did not consider the number of bottles of iced tea.
C
Barbara’s equation did not use the correct price for the bottles of iced tea.
D
Barbara's equation did not use the correct total for sales.
10

Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.Which equation can be used to find the number of times Maria hiked each trail?

A
x + y = 90
B
5x – 10y = 90
C
90 – 10y = 5x
D
90 + 10y = 5x

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